1. Twenty horses competed in the 2016 Kentucky Derby. Assuming no ties, how many possibilities were there for the first, second, and third place finishers?
2. Twenty athletes enter an Olympic event. Assuming no ties, how many different possibilities are there for winning the Gold Medal, Silver Medal, and Bronze Medal?
3. A sportswriter is asked to rank six teams. How many different orderings are possible?
4. A football squad can elect a captain and an assistant captain in 870 possible ways. How many members does the squad have?
5. A club can elect a president and a treasurer in 600 different ways. How many members does the club have?